A. A. Yadchenko, “On the solvability and factorization of some $\pi$-solvable irreducible linear groups of primary degree. Part V”, Proceedings of the Institute of Mathematics of the NAS of Belarus, 33:1 (2025), 44

Proceedings of the Institute of Mathematics of the NAS of Belarus

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Proceedings of the Institute of Mathematics of the NAS of Belarus, 2025, Volume 33, Number 1, Pages 44–57 (Mi timb403)

ALGEBRA AND NUMBER THEORY

On the solvability and factorization of some $\pi$-solvable irreducible linear groups of primary degree. Part V

A. A. Yadchenko

Institute of Mathematics of the National Academy of Sciences of Belarus, Minsk, Belarus

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Abstract: The work is the fifth and final one in a series of articles, where for a set $\pi$ consisting of odd primes, finite $\pi$-solvable irreducible complex linear groups of degree $2|H|+1$ are investigated, for which Hall $\pi$-subgroups are $TI$-subgroups and are not normal in groups. The purpose of the series is to prove solvability and to determine the conditions for factorization of such groups.

Keywords: finite groups, characters, factorizations of groups.

Received: 23.04.2025
Revised: 08.05.2025
Accepted: 23.05.2025

Document Type: Article

UDC: 511.2

Language: Russian

Citation: A. A. Yadchenko, “On the solvability and factorization of some $\pi$-solvable irreducible linear groups of primary degree. Part V”, Proceedings of the Institute of Mathematics of the NAS of Belarus, 33:1 (2025), 44–57

Citation in format AMSBIB

\Bibitem{Yad25}

\by A.~A.~Yadchenko

\paper On the solvability and factorization of some $\pi$-solvable irreducible linear groups of primary degree. Part~V

\jour Proceedings of the Institute of Mathematics of the NAS of Belarus

\yr 2025

\vol 33

\issue 1

\pages 44--57

\mathnet{http://mi.mathnet.ru/timb403}

Linking options:

https://www.mathnet.ru/eng/timb403

https://www.mathnet.ru/eng/timb/v33/i1/p44

Cycle of papers

On the solvability and factorization of some $\pi$-solvable irreducible linear groups of primary degree. Part I
A. A. Yadchenko
Tr. Inst. Mat., 2022, 30:1-2, 84–98
On the solvability and factorization of some $\pi$-solvable irreducible linear groups of primary degree. Part II
A. A. Yadchenko
Tr. Inst. Mat., 2023, 31:1, 88–100
On the solvability and factorization of some $\pi$-solvable irreducible linear groups of primary degree. Part III
A. A. Yadchenko
Tr. Inst. Mat., 2023, 31:2, 91–102
On solvability and factorization of some $\pi$-solvable irreducible linear groups of primary degree. Part IV
A. A. Yadchenko
Proceedings of the Institute of Mathematics of the NAS of Belarus, 2024, 32:2, 17–30
On the solvability and factorization of some $\pi$-solvable irreducible linear groups of primary degree. Part V
A. A. Yadchenko
Proceedings of the Institute of Mathematics of the NAS of Belarus, 2025, 33:1, 44–57

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Proceedings of the Institute of Mathematics of the NAS of Belarus

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